ApCoCoA-1:Latte.Minimize: Difference between revisions

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<command>
<command>
<title>Latte.Minimize</title>
<title>Latte.Minimize</title>
<short_description> Minimizes the objective function over a polyhedral P given by a number of linear constraints</short_description>
<short_description>Minimizes the objective function over a polyhedral P given by a number of linear constraints</short_description>
<syntax>
<syntax>
Latte.Minimize(Equations: LIST, LesserEq: LIST, GreaterEq: LIST, ObjectiveF: POLY):INT
Latte.Minimize(Equations: LIST, LesserEq: LIST, GreaterEq: LIST, ObjectiveF: POLY):INT
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<description>
<description>
{{ApCoCoAServer}}
<em>Please note:</em> The function(s) explained on this page is/are using the <em>ApCoCoAServer</em>. You will have to start the ApCoCoAServer in order to use it/them.


<itemize>
<itemize>
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   <type>cocoaserver</type>
   <type>cocoaserver</type>
</types>
</types>
<key>LattE</key>
<key>Latte</key>
<key>Minimize</key>
<key>Minimize</key>
<key>Latte.Minimize</key>
<key>Latte.Minimize</key>
<key>latte.Minimize</key>
<wiki-category>Package_latte</wiki-category>
<wiki-category>Package_latte</wiki-category>
</command>
</command>

Revision as of 11:57, 23 April 2009

Latte.Minimize

Minimizes the objective function over a polyhedral P given by a number of linear constraints

Syntax

Latte.Minimize(Equations: LIST, LesserEq: LIST, GreaterEq: LIST, ObjectiveF: POLY):INT

Description

Please note: The function(s) explained on this page is/are using the ApCoCoAServer. You will have to start the ApCoCoAServer in order to use it/them.

  • @param Equations: A list of linear polynomials, which are equivalent to the equality-part of the polyhedral constraints

  • @param LesserEq: A list of linear polynomials, which are equivalent to the lower or equal-part of the polyhedral constraints

  • @param GreaterEq: A list of linear polynomials, which are equivalent to the greater or equal-part of the polyhedral constraints

  • @param ObjectiveF: A linear Polynomial

  • @return The optimal value of the objective function

Example

Use S ::= QQ[x,y];
Equations := [];
LesserEq := [x-1, x+y-1];
GreaterEq := [x,y];
ObjectiveF := x + z;
Latte.Minimize(Equations, LesserEq, GreaterEq, ObjectiveF);